We read your photo as:

The data below shows a Survey conducted by Frank on age (Years) of basic shop learner in OPRT. a. Use tallies to organise the data to frequency table. b. Draw a pie chart to illustrate the information. c. find the percentage of those who are more than eleven Years.

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. Extract and organize the data.

    The ages given in the survey are:
    $11, 10, 12, 14, 11, 11, 14, 10, 12$
    $12, 11, 11, 11, 10, 14, 11, 10, 11$
    There are 18 data points in total.

  2. Create a frequency table with tallies (Part a).

    We count the occurrences of each age:

    • Age 10: 4 times
    • Age 11: 8 times
    • Age 12: 3 times
    • Age 14: 3 times

    The frequency table is:

    Age (Years)TallyFrequency10∣∣∣∣411∣∣∣∣ ∣∣∣812∣∣∣314∣∣∣3Total18\begin{array}{|c|c|c|} \hline \text{Age (Years)} & \text{Tally} & \text{Frequency} \\ \hline 10 & |||| & 4 \\ 11 & |||| \ ||| & 8 \\ 12 & ||| & 3 \\ 14 & ||| & 3 \\ \hline \text{Total} & & 18 \\ \hline \end{array}
  3. Calculate angles for the pie chart (Part b).

    To draw a pie chart, we calculate the angle for each sector using the formula: Angle=FrequencyTotal Frequency×360∘\text{Angle} = \frac{\text{Frequency}}{\text{Total Frequency}} \times 360^\circ.

    • For Age 10: 418×360∘=80∘\frac{4}{18} \times 360^\circ = 80^\circ
    • For Age 11: 818×360∘=160∘\frac{8}{18} \times 360^\circ = 160^\circ
    • For Age 12: 318×360∘=60∘\frac{3}{18} \times 360^\circ = 60^\circ
    • For Age 14: 318×360∘=60∘\frac{3}{18} \times 360^\circ = 60^\circ The sum of these angles is 80∘+160∘+60∘+60∘=360∘80^\circ + 160^\circ + 60^\circ + 60^\circ = 360^\circ. To draw the pie chart, you would draw a circle, then use a protractor to mark these angles from the center, creating sectors. Each sector should be labeled with its corresponding age.
  4. Calculate the percentage of those who are more than eleven years old (Part c).

    "More than eleven years old" includes individuals aged 12 and 14.
    Number of people aged 12=312 = 3
    Number of people aged 14=314 = 3
    Total number of people more than 11 years old = 3+3=63 + 3 = 6.
    Total number of people surveyed = 18.

    The percentage is calculated as:

    Percentage=Number of people > 11 years oldTotal number of people×100%\text{Percentage} = \frac{\text{Number of people > 11 years old}}{\text{Total number of people}} \times 100\% Percentage=618×100%\text{Percentage} = \frac{6}{18} \times 100\% Percentage=13×100%\text{Percentage} = \frac{1}{3} \times 100\% Percentage=33.33%\text{Percentage} = \boxed{33.33\%}
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp